JEE 2023 — Mathematics PYQJEE | Mathematics | 2023If the mean and variance of the frequency distribution. are 9 and 15.08 respectively, then the value of α2+β2−αβ is :Choose the correct answer:A. 5 (Correct Answer)B. 4C. 3D. 2Correct Answer: 5Explanation N=∑fi=40+α+β ∑fixi=360+6α+12β Mean (xˉ)=∑fi∑fixi=9 ⟹α=β σ2=∑fi∑fixi2−(∑fi∑fixi)2 σ2=15.08 α=5 Value of α2+β2−αβ is: α2+β2−αβ⟹α2=25 ⟹α=5 A5B4C3D2Show Answer SExplanation N=∑fi=40+α+β ∑fixi=360+6α+12β Mean (xˉ)=∑fi∑fixi=9 ⟹α=β σ2=∑fi∑fixi2−(∑fi∑fixi)2 σ2=15.08 α=5 Value of α2+β2−αβ is: α2+β2−αβ⟹α2=25 ⟹α=5